Disks extremal with respect to interpolation constants
We define a function $\mu$ from the set of sequences in the unit ball to ${\mathbb R}^*_+$ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its pr...
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| Veröffentlicht in: | Publicacions matemàtiques 2000, Vol.44 (1), p.119-133 |
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| container_title | Publicacions matemàtiques |
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| creator | Van Trao, N. |
| description | We define a function $\mu$ from the set of sequences in the unit ball to ${\mathbb R}^*_+$ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas. |
| doi_str_mv | 10.5565/PUBLMAT_44100_03 |
| format | Article |
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| ispartof | Publicacions matemàtiques, 2000, Vol.44 (1), p.119-133 |
| issn | 0214-1493 2014-4350 |
| language | eng |
| recordid | cdi_latinindex_primary_oai_record_407701 |
| source | Revistes Catalanes amb Accés Obert (RACO); JSTOR Mathematics & Statistics; Jstor Complete Legacy; Alma/SFX Local Collection |
| subjects | Analytic functions Conjuntos de interpolación Funciones analíticas Funciones de variación acotada Interpolation Unit ball |
| title | Disks extremal with respect to interpolation constants |
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